Drag each tile to the correct box. The water level of a tank every minute since it began filling is indicated by segments A, B, and C on the graph below. A graph represents the water level to fill the tank on Y-axis per time on X-axis. Segments A, B, and C fill the tank from 10 to 60, 60 to 80, and 80 to 110 centimeters in the first 2, next 4, and last 3 minutes. Place the segments in the correct order from the least to the greatest rate of increase in the water level. B A C

Answer:  Sample space:  {BBB, BBG, BGB, BGG, GBB, GBG, GGB, GGG}

1. 8 outcomes in total

2. 1/8 or 0.125

3. 1/2 or 0.5

4. 1/2 or 0.5

5. 3/8 or 0.375

Step-by-step explanation:

1. As shown by the sample space and the tree diagram, there are 8 total possibilities.

2. There is only a 1/8 or 0.125 chance of there being all boys, which is BBB

3. There are 4 outcomes that allow the middle child to be a girl, and 4/8 = 1/2.  There will only be a girl middle child with BGB, GGG, BGG, and GGB.

4. We can think of at least as meaning no less than two boys, which includes two to three boys.  The only outcomes that have either two or three boys is BBB, BBG, BGB, GBB.  4/8 = 1/2.

5. We can think of at most as meaning no more than one girl.  The only outcomes that have only one girl are BBG, BGB, and GBB, which is 3/8.

Answer:

I need to see the graph

No explanation

The nominal rate on a three year Treasury Bond, which is the risk-free rate plus the inflation premium, is 6%.

The nominal interest rate (also known as the money interest rate) is the percentage of interest that the borrower pays to the lender for a loan.

The nominal interest rate includes the real rate and the inflation premium.

Risk-free rate = 2%

Inflation premium = 4.0%

Maturity risk premium = 3.7%

Liquidity premium = 3%

Default risk premium = 3.5%

Nominal rate for Treasury Bond = Risk-free rate plus Inflation premium

= 6% (2% + 4%)

Thus, the nominal rate on a three year Treasury Bond is 6%.

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Answer:

(x-9) (x-5)

x = 9 x = 5

Step-by-step explanation:

find out which 2 numbers when multiplied give 45 and

when added give -14

they are -9 and -5

(x-9) (x-5)

x = 9 x = 5

Answer:

[tex]x_{1}=9, x_2=5[/tex]

Step-by-step explanation:

Recall a quadratic formula for quadratic equation [tex]ax^2+bx+c=0[/tex]: [tex]x_{1/2}=\frac{-b\pm \sqrt{b^2 -4ac}}{2a}[/tex]

Notice the constant in the given equation [tex]x^2-14x+45[/tex]:

[tex]a=1, b=-14, c=45[/tex]

Substitute the values into the formula:

[tex]x_{1/2}=\frac{-(-14)\pm \sqrt{(-14)^2 -4\cdot 1\cdot 45}}{2\cdot 1}[/tex]

Calculate the values:

[tex]x_{1/2}=\frac{14\pm \sqrt{196 -180}}{2}=\frac{14\pm\sqrt{16}}{2}=\frac{14\pm 4}{2}[/tex]

It follows that there are two solutions:

[tex]x_1=\frac{14+4}{2}=\frac{18}{2}=9[/tex]   and   [tex]x_2=\frac{14-4}{2}=\frac{10}{2}=5[/tex].

Answer:

(-2,2)

Step-by-step explanation:

i tried sorry if it's wrong

Lenny's net proceeds algebraically are found as;[tex]\rm |xy + 20 - \frac{98}{100} |[/tex]

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

Let the bought share will be $ x, and $y is the price per share

Paid fees to the broker = $ 20

The total amount spent = $(xy+20)

The price at which each share sells = $ A

Broker commission = 2 %

The total amount obtained after selling the shares;

⇒ ax - 2% of ax

⇒ 98 % of ax

Hence, Lenny's net proceeds algebraically are found as;[tex]\rm |xy + 20 - \frac{98}{100} |[/tex]

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Answer:

Step-by-step explanation:

what were Laura net proceeds

Using the binomial distribution, the probabilities are given as follows:

a) 0.0747 = 7.47%.

b) 0.8725 = 87.25%.

c) 0.1256 = 12.56%.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

The values of the parameters are:

n = 20, p = 0.6.

Item a:

The probability is P(X = 15), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 15) = C_{20,15}.(0.6)^{15}.(0.4)^{5} = 0.0747[/tex]

Item b:

The probability is:

[tex]P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) + \cdots + P(X = 20)[/tex]

Finding each value with the equation we used in item a, we have that:

[tex]P(X \geq 10) = 0.8725[/tex]

Item c:

At least 20 - 5 = 15 on the road, hence the probability is:

[tex]P(X \geq 15) = P(X = 15) + P(X = 16) + \cdots + P(X = 20)[/tex]

Then, using the same procedure as item b, we have that:

[tex]P(X \geq 15) = 0.1256[/tex]

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The point F tells us that Marcelina spends the intended amount of money and she buys more than the intended amount of corn.

From the question the entire kg of maize that she buys from what we see in the graph is

50 + 20 = 70kg

But the amount that she was supposed to buy is 50 kg

Hence the point F shows that she spent the money the way she wanted to use in to buy the product.,

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Answer:

  150 mph

Step-by-step explanation:

The relationship between time, speed, and distance is ...

  speed = distance/time

The trains have separated 750 miles in 5 hours, so their rate of separation is ...

  (750 mi)/(5 h) = 150 mi/h

The trains are separating at a speed of 150 mph.

Answer:

a=1.5, b= 3

Step-by-step explanation:

sum of all sides will give us perimeter. Therefore

2a+b+6a+2b+1+4a=28

12a+3b+1=28

12a+3b=27....eqn1

since t two sides of this isosceles triangle are equal:

2a+b=4a

2a=b

[tex]a=\frac{b}{2}[/tex]

substituting [tex]\frac{b}{2}[/tex][tex].[/tex] in the first equation whenever we encounter a we will have:

[tex]12(\frac{b}{2})+3b=27\\[/tex]

6b+3b=27

9b=27

b=3

therefore [tex]a= \frac{b}{2} =\frac{3}{2} =1\frac{1}{2} or 1.5[/tex]

Answer:

(14, -9)

Step-by-step explanation:

So you can solve this using substitution. When you're solving a systems of equations, you're looking for when (x, y) is the same for both equations, or in other words where the two linear equations intersect. Because of this we can solve for x or y in one equation and substitute it into the other equation, since the x and y in one equation should equal the x and y in the other equation.

Original equation:

x + 2y = -4

Subtract 2y from both sides

x = -2y - 4

Original equation:

2x + 3y = 1

Substitute -2y -4 as x

2(-2y - 4) + 3y = 1

Distribute the 2

-4y - 8 + 3y = 1

Combine like terms

-y - 8 = 1

Add 8 to both sides

-y = 9

Multiply both sides by -1

y = -9

So now that you know what y is, you can plug it into either equation to solve for x:

x + 2y = -4

Plug in -9 as y

x + 2(-9) = -4

Multiply

x - 18 = -4

Add 18 to both sides

x = 14

So this gives you the solution (14, -9)

The question is incomplete. Please find the full content below.

Which number produces a rational number multiplied by 0.5

(C) 2.22 produces a rational number multiplied by 0.5.

If a number can be expressed by p/q form where p and q are whole numbers and q does not equal to 0, is called a Rational number.

If a number cannot be expressed as above then that number is called Irrational Number.

In simple term, we can say that the never-ending decimal numbers and square roots of non perfect square numbers are Irrational Numbers.

Product of two rational numbers is always a rational and the product of one rational and one irrational is always an irrational number.

Here given that the number is 0.5 which is clearly a rational number.

In order to get a rational number, we have to multiply another rational number with that.

In the given choices,

[tex]\pi=3.14......[/tex]

is a never-ending decimal number that is irrational.

7 is not a perfect square so

[tex]\sqrt{7}[/tex]

is an irrational number.

2.020020002.... is also a never-ending decimal number hence it is irrational.

Only 2.22 is rational here.

So multiplication of 2.22 and 0.5 produces a rational number since the product of two rational numbers is always a rational number.

Hence option (C) is correct.

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The frequency table and histogram are shown in the attached picture.

It is defined as the depiction of numerical data in a graph using a bar with no space. The histogram depicts the approximate distribution of the data.

We have:

The ages of the participants were recorded as follows:

36, 48, 54, 92, 57, 63, 66, 76, 66, 80, 82, 65, 39, 77, 45

The classes can be made:

30-42, 43-55, 56-68, 69-81, and 82-94

The histogram is shown in the picture.

Thus, the frequency table and histogram are shown in the attached picture.

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13.13.13.13.13 in exponential form is 13^5

The expression is given as:

13.13.13.13.13

The factors of the above expression are 13.

And each factor is grouped by product

There are five 13s in the expression.

So, we have:

13.13.13.13.13 = 13^5

Hence, 13.13.13.13.13 in exponential form is 13^5

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Answer:

Area = length * width

= 4/5 * 2/3

= 8/15

Answer:

[tex]area = \frac{8}{15} {in}^{2} [/tex]

Step-by-step explanation:

The solution is in the attached file

Answer:

(0;-1)

Step-by-step explanation:

for more details see the attachment.

Answer:

10

Step-by-step explanation:

x = Edith's age = 20 years

y = Ronald's age

x = 20 = y/4

y = 20×4 = 80 years

in z years we have

(x + z) = (y + z)/3

(20 + z) = (80 + z)/3

3(20 + z) = 80 + z

60 + 3z = 80 + z

60 + 2z = 80

2z = 20

z = 10

in 10 years Edith's age will be 1/3 of Ronald's age.

then Edith will be 30, and Ronald will be 90.

30 = 90/3

correct.

The greater unit rate (slope) of the two functions is 2 (of the first function).

The greater y-intercept of the two functions is 6 (of the second function).

The unit rate (slope) of a linear function is the rise (or fall) in the independent variable for a unit change in the dependent variable.

When the linear function goes through the points (x₁, y₁) and (x₂, y₂), then the unit rate (slope) can be calculated as (y₂ - y₁)/(x₂ - x₁).

The first function goes through the points (0, 5) and (5, 15).

Thus unit rate (slope) of the first function = (15 - 5)/(5 - 0) = 2.

The second function goes through the points (0, 6) and (-4, 0).

Thus unit rate (slope) of the second function = (6 - 0)/(0 - (-4)) = 1.5.

Therefore, the greater unit rate (slope) of the two functions is 2 (of the first function).

The y-intercept of a linear function is the y-coordinate of the point at which the graph of the function intersects the y-axis. It is also shown as the point (0, b).

The y-intercept of the first function is 5, as it passes through the point (0, 5).

The y-intercept of the second function is 6, as it passes through the point (0, 6).

Therefore, the greater y-intercept of the two functions is 6 (of the second function).

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Answer:

2 and 6

Source:

Trust me bro

Answer: 8, 24

Step-by-step explanation:

Since the sum of two numbers is 32 and one number is 3 times as large as the other, the first number can be defined as x and the second number is 3x.

Divide 32 by (3+1) = 4 and you get 8, which is x.

The second number is 3(8) = 24.

Answer:

Step-by-step explanation:

Below is the graphs of the given g(x) and p(x)

g(x) is green

p(x) is blue

The graph of g(x) is wider.

The graph of g(x) opens downward

Both have the axis of symmetry x = 0

The vertex of g(x) is (0, 7); the vertex of p(x) is (0, 0).

The graph of g(x) opens downward and the graph of p(x)  opens upward

The graph of g(x) is wider.

Answer:

Area = 150 m²

Volume = 125 m³

Step-by-step explanation:

• The surface area of a cube is given by the formula:

[tex]Area = 6r^2[/tex]

where r is the length of an edge of the cube = 5 m.

∴ Area = 6(5)²

           = 6(25)

           = 150 m²

• The volume of a cube is given by the formula:

[tex]Volume = r^3[/tex]

∴ Volume = (5)³

                = 125 m³

[tex]\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: {\large{\textsf{\textbf{\underline{\underline{Answer :}}}}}}[/tex]

We use the formulas for the area and volume of the cube, assuming that the length [tex] \bold{A=5m}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold\red \: \bold \red A \purple = \bold \blue6 \bold \blue a {}^{ \bold \orange2} [/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold \red A \purple= \bold \blue6 \bold \blue \: \: \blue • \: \: \bold \blue5 {}^{ \bold\orange{ 2}} [/tex]

[tex]\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold \red A \purple= \bold \blue 1 \bold \blue5 \bold \blue0 \bold \blue m {}^{ \bold \orange2} [/tex]

Now we will find the volume of the cube :-

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\bold \red V \purple = \bold\blue a {}^{ \bold \orange3} [/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold \red V \purple = \bold \blue 5 {}^{ \bold \orange3} [/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold \red V \purple = \blue{ \bold{125m}} {}^{ \bold \orange3} [/tex]

Answer: The area of the cube is 150 m² and the volume it Equal a 125 m³

I hope I've helped : )

Answer:

StepWhat is the measure of z? Z X y 4 9 z = [ ? ]VI-by-step explanation:

The bikers will meet at point N, all the questions have been answered below.

A triangle is a polygon with three sides, angles, and vertices.

The triangle MNO is formed on the basis of the data given in the question

If the triangle satisfies the sine-rule then the biker meets the other biker at point N

According to the sine rule

In a Triangle ABC of side length a,b and c respectively

a/ sin A = b/ sin B = c/sin C

NM/sin NOM =21/ sin 61°

NM/sin NOM = 24.01

NO/sin OMN =24/sin 89°

NO/sin OMN = 24.003

∠ONM = ( 180-61-89) = 30°

OM / sin ONM = 12/ sin 30 = 24

        and so, the bikers will meet at point N.

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Answer:

(3x-2)

Step-by-step explanation:

3x² + 4x - 4

look for two factors whose product is (3)(-4)=-12 and sum is +4

The factors will be +6 and -2

substitute these factors inplace of 4x to get:

3x² - 2x + 6x - 4

then factorize:

x(3x-2)+2(3x-2)

finally we get factors: (3x-2)(x+2)

Answer:

Try using the permutations formulae - nPr

n = 10

r = 4

you should get the answer. I don't have calculator on me and I'm lazy searching an online calculator. cheers

In the graph,

Amplitude = 1.5 units

Period = 180°

The x-intercepts are 40°, 140°, 220°, and 320°

From the question, we are to determine the amplitude, period and the x-intercepts of the given graph

Amplitude is the distance from rest to crest.

In the graph,

Amplitude = 1.5 units

Period is how long from crest to crest OR trough to trough

In the graph,

Period = 180°

x-intercepts refers to the points where the graph cuts the x-axis

In the graph,

The x-intercepts are 40°, 140°, 220°, and 320°

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Answer:

21 y power 5

Step-by-step explanation: